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Jonathan Trevelyan's Outputs (3)

The solution of the anomalous diffusion equation by a Finite Element Method based on the Caputo derivative (2022)
Journal Article
Correa, R., Carrer, J., Solheid, B., & Trevelyan, J. (2022). The solution of the anomalous diffusion equation by a Finite Element Method based on the Caputo derivative. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 44(6), Article 250. https://doi.org/10.1007/s40430-022-03544-5

A Finite Element Method formulation is developed for the solution of the anomalous diffusion equation. This equation belongs to the branch of mathematics called fractional calculus; it is governed by a partial differential equation in which a fractio... Read More about The solution of the anomalous diffusion equation by a Finite Element Method based on the Caputo derivative.

An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources (2022)
Journal Article
Gong, Y., Chin, F., Dong, C., & Trevelyan, J. (2022). An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources. Applied Mathematical Modelling, 109, 161-185. https://doi.org/10.1016/j.apm.2022.03.047

We present an isogeometric boundary element method (IGABEM) capable of studying heat transfer problems for multiscale structures in electronic packaging problems. This method offers a number of key improvements compared with current analysis methods... Read More about An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources.

Analysis of 2D contact problems under cyclic loads using IGABEM with Bezier decomposition (2022)
Journal Article
Loyola, F., Doca, T., Campos, L., Trevelyan, J., & Albuquerque, E. (2022). Analysis of 2D contact problems under cyclic loads using IGABEM with Bezier decomposition. Engineering Analysis with Boundary Elements, 139, 246-263. https://doi.org/10.1016/j.enganabound.2022.03.017

Non-uniform rational B-splines (NURBS) are a convenient way to integrate CAD software and analysis codes, saving time from the operator and allowing efficient solution schemes that can be employed in the analysis of complex mechanical problems. In th... Read More about Analysis of 2D contact problems under cyclic loads using IGABEM with Bezier decomposition.